AMU Diploma in Engineering Entrance PYQs- 2020

A man spends 1/3 of his income on food, 2/5 of his income on house rent and 1/5 of his income on clothes. If he still has ₹400 left with him, his income is

If (x+2) and (x-1) are factors of (x³+10x²+mx+n), then

If \(x=a+\frac{1}{a}\) and \(y=a-\frac{1}{a}\), then the value of x⁴+y⁴ − 2x²y² is

If b is a real number such that b² = b+1. Then which of the following is not true?

Figure shows a graph for y = f(x). The number of zeros of f(x) are:

If \(\sqrt{\frac{5}{3}}\) and \(−\sqrt{\frac{5}{3}}\) are two zeros of the polynomial 3x⁴+6x³−2x²−10x−5 then its other two zeros are:

If \(x=3−2\sqrt{2}\) , then \((\sqrt{x}−\frac{1}{\sqrt{x}})=\)

The value of \(\left(\frac{81}{16}\right)^{-\frac{3}{4}} \times \left(\frac{25}{9}\right)^{\frac{-3}{2}} ÷ \left(\frac{5}{2}\right)^{-3}\) is:

(a) \(\frac{64}{15625}\)

(b) \(\frac{729}{64}\)

(c) 1

(d) 3

If 4x² + 9y² + z² = 6xy + 3yz + 2xz then 8x³ + 27y³ + z³ will be equal to

The equation x²+3x+k = 0, has real roots. Then

How many natural numbers between 300 to 500 are multiples of 7?

For what value of k does the pair of equations 5x+2y = 2k and 2(k + 1)x + ky = (3k + 4 ) have an infinite number of solutions?

Which term of the AP 24, 21, 18, 15, …… is the first negative term?

The elimination of θ from x cosθ −y sinθ = 2 and x sinθ + y cosθ=4 will give:

For given α,β \(\left(both\lt \frac{π}{2}\right)\) and if cos(α+β)=0, then sin(α−β) =?

The angle of elevation of the top of a tower from the point P and Q at a distance of ‘a‘ and ‘b‘ respectively from the base of the tower and in the same straight line with it are complimentary. The height of the tower is:

If the arms of one angle are respectively parallel to the arms of another angle, then the two angles are:

Consider the following statements:
(I) The sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.
(II) The quadrilateral formed by joining the mid-points of the pairs of adjacent sides of a rhombus is a rectangle.
(III) Both diagonals of a rhombus divide it into four triangles, which are similar ones.
Which of these is/are correct?

Two chords AB and CD of a circle intersect each other at point E outside the circle. If AB=11 cm, BE=3 cm and DE= 3.5 cm, then CD= ?

In the adjacent figure, O is the centre of the circle. If ∠ABC= 45° then ∠AOC is

In the given figure PA, QB and RC are perpendicular to AC such that PA= x, RC= y, QB= z, AB= a and BC= b. Then the value of 1/x + 1/y − 1/z is

In the figure AB || CD and P is any point. Then ∠ABP + ∠BPD + ∠CDP is equal to

The points Iying on the curve \(\frac{2}{x}+\frac{1}{y}=7\) are not in

The area of the square ABCD with A(−2, 3) and B(5, −1) is

The area of the ∆OPQ with O(0, 0), P(1, 0), Q(0, 1) is

The water of the tank, measuring 20 m × 15 m × 6 m, lasts for 3 days in a village. The population of the village that requires 150 litres of water per head per day, served by the tank, is

There are 50 numbers. Each number is subtracted from 53 and the new mean of the numbers so obtained is found to be −3.5 . The mean of the given numbers is

An urn contains 25 balls numbered 1 through 25. Two balls are drawn from the urn with replacement. Find the probability of selecting both odd numbers.

Let \(\bar{x}\) be the mean of x₁, x₂, ……. xₙ and \(\bar{y}\) be the mean of y₁, y₂, ……. yₙ . If \(\bar{z}\) is the mean of x₁, x₂, ……. xₙ, y₁, y₂, ……. yₙ, then \(\bar{z}\)=?

Find the x and y in the following table, if median is 32.

Imperial Bank of India is the old name of:

Which game, believed to have originated in Tamil Nadu, is the National game of Bangladesh?

Of the 12 constellations incorporated into the traditional zodiac signs, which is the only non-living thing?

Who among the following cannot participate in the elections of President of India?

Chola Empire in ancient India was famous for:

Ibn Batuta is a ______ century traveller and historian.

“Servants of India Society” provided famine relief and worked for tribal. It was formed by:

V. Shantaram Lifetime Achievement Award, 2018 has been given to:

Shaikh Nizamuddin Auliya belonged to the:

Chameli Devi Award is given in the field of:

The first verses revealed to Prophet Muhammad are incorporated in the Surah:

The third pillar of lslam is:

In the courtyard of a medieval mosque stands a famous iron pillar which bears a Sanskrit inscription in Gupta script. The name of the mosque is:

From the chronological point of view which of the following is the first major compilation of Hadith?

The Prime Minister of the Provisional Indian Government in exile was:

Hujjatullah-al-Baligha is written by:

The freedom fighter associated with the Kakori Conspiracy was:

The Surah that contains two Bismillahs is:

In which Anglo-Mysore war did Tipu Sultan participate after the death of his father Hyder Ali?

Which city was named ‘Daulatabad’ by the Tughlaq Sultan?

A boy on a 20 m high building drops a stone. One second later he throws down another stone. Both the stone hit the ground simultaneously. The initial velocity of the second stone is (g= 10 m/s²)

The speed-time graph of a car moving along a fixed direction is shown in figure below. Obtain the distance travelled by the car between t=0 second to t=10 seconds.

A girl of mass 40 kg jumps with a horizontal velocity of 5 m/s onto a stationary cart with frictionless wheels. The mass of the cart is 10 kg. What is her velocity as the cart starts moving? Assume that there is no external unbalanced force working in the horizontal direction.

A motor car of mass 1200 kg is moving along a straight line with a uniform velocity of 90 km/h. Its velocity is slowed down to 18 km/h in 4 seconds by an unbalanced external force. The magnitude of the force is:

A certain force applied to mass m₁ gives it an acceleration of 10 m/s². The same force applied to mass m₂ gives it an acceleration of 15 m/s². If the two masses are joined together and the same force is applied to the combination, the acceleration will be:

A cylindrical block of radius r and mass m is lying on the table and the pressure acting on the table is P. If its radius is doubled and mass Is tripled, then the pressure acting on the table is:

The density of ice is x gram/cm³ and that of water is y gram/cm³. What is the change in volume when m gram of ice melts?

A boy of mass 50 kg runs up a staircase of 45 steps in 9 seconds. If the height of each step is 15 cm, find his power. (g=10 m/s²)

A ball is thrown up with a kinetic energy of 20 J. If it reaches maximum height of 1 m, the mass of the ball is: (Take g= 10 m/s²)

A person clapped his hand near a cliff and heard an echo after 5 seconds. What is the distance of the cliff from the person if the sped of the sound is 346 m/s?

A wire of given material having length l and area of cross-section A has a resistance of 4 Ω. What would be the resistance of another wire of the same material having length l/2 and area of cross-section 2A?

What is the equivalent resistance between A and B in the circuit of figure, if R = 3 Ω ?

Which of the following correctly describes the magnetic field near a long straight wire?

A typical solar cell generates electricity when exposed to the sun, of about:

An object is placed at a distance of 10 cm from a convex mirror of focal length 15 cm. Find the position of the image.

The far point of a myopic person is 50 cm in front of the eye. The power of the lens required to correct this defect is:

A ray of light travelling inside a rectangular glass block of refractive index \(\sqrt{2}\) is incident on the glass air surface at an angle of incidence of 45°. The refractive index of air is 1. The ray will

Hydrogen has three isotopes (¹H, ²H and ³H) and chlorine has two isotopes (³⁵CI and ³⁷Cl). HCL molecule having 18 proton, 19 neutrons and 18 electrons has the formula

What is the molarity of Na⁺ ion in a solution prepared by dissolving 0.55 gram of Na₂SO₄ in a volume of 100 ml water.

What is the molecular weight of the phosphorous P₄ molecule?

The Tyndall effect is observed in:

Which of the following is a surface phenomenon?

H₂ gas is not evolved when a metal reacts with HNO₃ acid because

Mass of 3.011×10²³ number of nitrogen (N) atoms is:

Formula of Aluminum sulphate is:

Smoke is an example of

Neutrons are not present in the nucleus of atoms of

Select the balanced reaction:

A solution contains 40 g of common salt in 320 g of water. What will be the concentration in terms of mass by mass percentage of the solution?

Which of the following is not an allotrope of carbon?

How isnamed?

The reaction is an example of

The functional group of Ketone is

Litmus solution is

Carl Woese (1977) divided the Monera into:

Mycorrhiza exhibits the phenomenon of:

Which one of the following cell organelles helps to keep the cell clean by digesting any foreign material?

Each pollen mother cell by a meiotic division, produces:

Plant transport system does not transport:

Chromosomes are made up of :

Plant carbon is supplied from :

The hormone that promotes cell division in plants is:

Ciliated columnar epithelium is present in the:

Correct sequence of components of the nephron is:

Which organelle is involved in the formation of lysosomes:

Chromatin material is made up of:

Pollution of our surroundings in the recent past has resulted because of:

Peptic ulcers are caused by:

Sea anemone is an example of:

Oxytocin is synthesized in the: